Divide Fractions Calculator 3 Fractions

Division of Three Fractions Formula:

\[ \frac{a}{b} \div \frac{c}{d} \div \frac{e}{f} = \frac{a \times d \times f}{b \times c \times e} \]

First Fraction Numerator (a):

First Fraction Denominator (b):

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Division Result:

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1. What is Three Fraction Division?

Dividing three fractions involves dividing the first fraction by the second fraction, and then dividing that result by the third fraction. The operation can be simplified by multiplying the first fraction by the reciprocal of the second and third fractions.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ \frac{a}{b} \div \frac{c}{d} \div \frac{e}{f} = \frac{a \times d \times f}{b \times c \times e} \]

Where:

\( \frac{a}{b} \) — First fraction
\( \frac{c}{d} \) — Second fraction
\( \frac{e}{f} \) — Third fraction

Explanation: Division of fractions is equivalent to multiplying by the reciprocal. The calculator simplifies the result to its lowest terms.

3. Importance of Fraction Division

Details: Understanding fraction division is fundamental in mathematics and essential for solving problems in algebra, physics, engineering, and everyday calculations.

4. Using the Calculator

Tips: Enter all six values (numerators and denominators) for the three fractions. The denominators cannot be zero. The calculator will simplify the result automatically.

5. Frequently Asked Questions (FAQ)

Q1: What if one of the denominators is zero?
A: Division by zero is undefined. The calculator requires all denominators to be non-zero values.

Q2: How does the calculator simplify the result?
A: It finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this value.

Q3: Can I enter negative fractions?
A: Yes, the calculator handles negative values. The sign will appear in the simplified result.

Q4: What if the result is a whole number?
A: The calculator will display it as a whole number (e.g., 4 instead of 4/1).

Q5: Can this be used for mixed numbers?
A: First convert mixed numbers to improper fractions before using this calculator.